{
 "metadata": {
  "name": "",
  "signature": "sha256:287648008dcbea77582e2af0c208730541e9ddf359528fd9d884d3e40efee8b2"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "from scipy import stats\n",
      "from IPython.display import display, clear_output\n",
      "import time "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Revisiting Linear Regression "
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In our previous discussion  on linear regression, we saw that regularization  can help trade bias against  variance "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "a = 6;b=1\n",
      "n=50\n",
      "\n",
      "x = linspace(0,1,n)\n",
      "y  = a*x + b +randn(n)\n",
      "p_,cov_ = polyfit(x,y,1,cov=True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def add_cone(ax,p_,cov_,x,alpha=0.95):\n",
      "    erra_=stats.norm(p_[0],sqrt(cov_[0,0])).interval(alpha)\n",
      "    errb_=stats.norm(p_[1],sqrt(cov_[1,1])).interval(alpha)\n",
      "    ax.fill_between(x,polyval([erra_[0],errb_[0]],x),\n",
      "                      polyval([erra_[1],errb_[1]],x),\n",
      "                      color='gray',alpha=.3)\n",
      "    \n",
      "def add_histogram(ax,x,y):\n",
      "    p_ = polyfit(x,y,1)\n",
      "    errs= polyval(p_,x)-y\n",
      "    ax.hist(errs,alpha=.3,normed=True)\n",
      "    rvs=stats.norm(mean(errs),std(errs))\n",
      "    xs = linspace(errs.min(),errs.max(),20)\n",
      "    ax.plot(xs,rvs.pdf(xs))\n",
      "    return errs\n",
      "    \n",
      "def add_fit(ax,x,y,**kwds):\n",
      "    p,cov_ = polyfit(x,y,1,cov=True)\n",
      "    ax.plot(x,polyval(p,x),**kwds)\n",
      "    return (p,cov_)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig,axs=subplots(1,2)\n",
      "fig.set_size_inches((10,3))\n",
      "outlier = [0.5,7]\n",
      "\n",
      "ax=axs[0]\n",
      "ax.plot(x,y,'o',alpha=.3)\n",
      "ax.plot(x,polyval(p_,x))\n",
      "erra_=stats.norm(p_[0],sqrt(cov_[0,0])).interval(.95)\n",
      "errb_=stats.norm(p_[1],sqrt(cov_[1,1])).interval(.95)\n",
      "ax.fill_between(x,polyval([erra_[0],errb_[0]],x),\n",
      "                  polyval([erra_[1],errb_[1]],x),\n",
      "                  color='gray',alpha=.3)\n",
      "ax.plot(outlier[0],outlier[1],'o',color='r')\n",
      "\n",
      "ax = axs[1]\n",
      "ax.hist(polyval(p_,x)-y,alpha=.3)\n",
      "ax.vlines(outlier[1]-polyval(p_,outlier[0]),0,ax.get_ylim()[1],color='r',lw=3.)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "<matplotlib.collections.LineCollection at 0xcc7a810>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAk8AAADICAYAAADx7QUnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xcbf5c90>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Try re-fitting with new data point"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# parameter wanders \n",
      "fig,axs=subplots(2,2,sharex=True,sharey=True)\n",
      "fig.set_size_inches((8,4))\n",
      "a_list = range(6,14,2)\n",
      "\n",
      "for a,ax in zip(a_list,axs.flat):\n",
      "    y  = a*x + b +randn(n)\n",
      "    p_,cov_ = polyfit(x,y,1,cov=True)\n",
      "    ax.plot(x,y,'o',alpha=.3)\n",
      "    ax.plot(x,polyval(p_,x))\n",
      "    ax.set_title(\"a=%g\"%a)\n",
      "    add_cone(ax,p_,cov_,x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAEKCAYAAADD4CYLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xcd87870>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "a0=6\n",
      "y0  = a0*x + b +randn(n)\n",
      "x0 = x[:]\n",
      "a1 = 15\n",
      "y1  = a1*x + b +randn(n)\n",
      "x1 = x[:]\n",
      "\n",
      "p_,cov_=polyfit(hstack([x,x]),hstack([y0,y1]),1,cov=True)\n",
      "\n",
      "fig,axs=subplots(1,2)\n",
      "fig.set_size_inches((8,4))\n",
      "ax=axs[0]\n",
      "add_cone(axs[0],p_,cov_,x)\n",
      "ax.plot(x,polyval([a0,b],x),label='a=6')\n",
      "ax.plot(x,polyval([a1,b],x),label='a=12')\n",
      "ax.plot(x,polyval(p_,x),label='all fit')\n",
      "ax.legend(loc=0)\n",
      "add_histogram(axs[1],hstack([x,x]),hstack([y0,y1]));"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAd4AAAEACAYAAAAdqhecAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\neJVSSikv0sSrlFJKedH/A1nbdpSx5nrZAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd04de50>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig,axs=subplots(1,3)\n",
      "fig.set_size_inches((10,3))\n",
      "\n",
      "ax =axs[0]\n",
      "xc = []\n",
      "yc = []\n",
      "outliers=[]\n",
      "\n",
      "# allow for permutations on wander\n",
      "# idx=random.permutation(range(len(x)))\n",
      "# x1 = x1[idx]\n",
      "# y1 = y1[idx]\n",
      "\n",
      "# for baseline population \n",
      "p_base = polyfit(x0,y0,1)\n",
      "errs=polyval(p_base,x0)-y0\n",
      "rvs=stats.norm(mean(errs),std(errs))\n",
      "\n",
      "# convenience\n",
      "def eval_likelihood(i,j):\n",
      "    return rvs.pdf(j-polyval(p_base,i))\n",
      "\n",
      "for i,j in zip(x1,y1):\n",
      "    ax.plot(x,y0,'o',alpha=.3)\n",
      "    if eval_likelihood(i,j) < 0.05:\n",
      "        outliers.append((i,j))\n",
      "    else:\n",
      "        xc.append(i)\n",
      "        yc.append(j)\n",
      "    if outliers: \n",
      "        outlx = array(outliers)[:,0]\n",
      "        outly = array(outliers)[:,1]\n",
      "        ax.plot(outlx,outly,'or',alpha=.6)\n",
      "        if len(outliers)>5:\n",
      "            errs=add_histogram(axs[2],outlx,outly)\n",
      "            axs[2].vlines(j-polyval(polyfit(outlx,outly,1),i),0,0.3,lw=3.,color='r')\n",
      "            axs[2].set_title('%3.3g'%(stats.kstest(errs,'norm')[1]))\n",
      "            p_,cov_=add_fit(ax,outlx,outly,lw=3.,color='r')\n",
      "            add_cone(ax,p_,cov_,allx)\n",
      "\n",
      "    ax.plot(xc,yc,'o',color='r',alpha=.3)\n",
      "    allx = x.tolist()+xc\n",
      "    ally = y0.tolist()+yc\n",
      "    p_,cov_=add_fit(ax,allx,ally,color='k',lw=2)\n",
      "    add_cone(ax,p_,cov_,allx)\n",
      "    errs=add_histogram(axs[1],allx,ally)\n",
      "    axs[1].set_title('%3.3g'%(stats.kstest(errs,'norm')[1]))\n",
      "    axs[1].vlines(j-polyval(polyfit(allx,ally,1),i),0,0.3,lw=3.,color='r')\n",
      "    time.sleep(.1/2)\n",
      "    clear_output(wait=True)\n",
      "    display(fig)\n",
      "    ax.cla()\n",
      "    ax.axis(ymin=-2,ymax=15,xmin=0,xmax=x0.max())\n",
      "    axs[1].cla()\n",
      "    axs[2].cla()\n",
      "\n",
      "plt.close()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAk8AAADSCAYAAABToCTaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wN5A5PGhCj6SAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd4118b0>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "class AdaptiveRegression(object):\n",
      "    def __init__(self,x0,y0):\n",
      "        self.x0,self.y0 = x0,y0\n",
      "        self.p0, self.cov0 = polyfit(x0,y0,1,cov=True)\n",
      "        self.errs = y0-polyval(self.p0,x0)\n",
      "        self.rvs = stats.norm(mean(errs),std(errs))\n",
      "    def predict(self,i):\n",
      "        return polyval(self.p0,i)\n",
      "    def likelihood(self,x,y):\n",
      "        return self.rvs.pdf(y-self.predict(x))\n",
      "    def update(self,x,y):\n",
      "        if isinstance(x,np.ndarray) and isinstance(y,np.ndarray):\n",
      "            self.x0,self.y0  = hstack([self.x0,y]),hstack([self.y0,y])\n",
      "        else:\n",
      "            self.x0,self.y0  = hstack([ self.x0,[x] ]),hstack([ self.y0,[y] ])\n",
      "        self.p0, self.cov0 = polyfit(self.x0,self.y0,1,cov=True)\n",
      "        self.errs = self.y0-polyval(self.p0,self.x0)\n",
      "        self.rvs = stats.norm(mean(errs),std(errs))\n",
      "    def plot(self,ax,**kwds):\n",
      "        ax.plot(self.x0,self.y0,marker='o',ls='none',alpha=.5,**kwds)\n",
      "        ax.plot(self.x0,self.predict(self.x0))\n",
      "    def add_cone(self,ax,alpha=0.95):\n",
      "        p_ = self.p0\n",
      "        cov_ = self.cov0\n",
      "        x = self.x0\n",
      "        erra_=stats.norm(p_[0],sqrt(cov_[0,0])).interval(alpha)\n",
      "        errb_=stats.norm(p_[1],sqrt(cov_[1,1])).interval(alpha)\n",
      "        ax.fill_between(x,polyval([erra_[0],errb_[0]],x),\n",
      "                          polyval([erra_[1],errb_[1]],x),\n",
      "                          color='gray',alpha=.3)\n",
      "    def add_histogram(self,ax):\n",
      "        errs =self.errs\n",
      "        ax.hist(errs,alpha=.3,normed=True)\n",
      "        xs = linspace(errs.min(),errs.max(),40)\n",
      "        ax.plot(xs,self.rvs.pdf(xs))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig,ax= subplots()\n",
      "ar=AdaptiveRegression(x0,y0)\n",
      "ar.plot(ax,color='r')\n",
      "ar.add_cone(ax)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAEACAYAAAB4ayemAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xcbe8c30>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig,axs= subplots(1,2)\n",
      "fig.set_size_inches((8,3))\n",
      "\n",
      "ar=AdaptiveRegression(x0,y0)\n",
      "for i,j in zip(x1,y1):\n",
      "    ax=axs[0]\n",
      "    ar.plot(ax,color='b')\n",
      "    ar.add_cone(ax)\n",
      "    ax.plot(i,j,'ro')\n",
      "    ar.update(i,j)\n",
      "    ar.add_histogram(axs[1])\n",
      "    axs[1].vlines(j-ar.predict(i),0,0.3,lw=3.,color='r')\n",
      "    time.sleep(.1/2)\n",
      "    clear_output(wait=True)\n",
      "    display(fig)\n",
      "    ax.cla()\n",
      "    ax.axis(ymin=-2,ymax=15,xmin=0,xmax=x0.max())\n",
      "    ax.set_title(repr(ar.p0))\n",
      "    axs[1].cla()\n",
      "\n",
      "plt.close()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAADSCAYAAAAL6coyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMALm/wGRtLG+8y6kLgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xcf86fd0>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    }
   ],
   "metadata": {}
  }
 ]
}